More Algebra Than Geometry 1

Algebra Level 2

You have a cylinder and a sphere in front of you. The radius of the cylinder, radius of the sphere, and height of the cylinder are all the same. What is the ratio of the volume of the cylinder to the volume of the sphere?

Part 2

Part 3

Honorable Mention

4:3 3:4 1:1 2:1 3:2 1:2 2:3 Can't be Determined

1 solution

Jesse Li
Nov 2, 2018

Volume of a cylinder: $hπr^2$

Volume of a sphere: $\frac{4}{3}πr^3$

Since the height of the cylinder is equal to the radius of the cylinder and sphere, we can change the formula to $πr^3$ , and have the ratio $πr^3$ : $\frac{4}{3}πr^3$

We can divide both sides by $πr^3$ , and get 1: $\frac{4}{3}$

We then multiply both sides by 3, to get $\boxed{3:4}$

More Algebra Than Geometry 1

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